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Finding the Third Proportional to 148,188,236,098 and 199,940,722,592

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Solution

The third proportional to 148,188,236,098 and 199,940,722,592 is: 269,766,977,482.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,188,236,098 : 199,940,722,592 = 199,940,722,592 : x
  2. Step 2: Convert to fraction form
    148,188,236,098/199,940,722,592 = 199,940,722,592/x
  3. Step 3: Cross multiply
    148,188,236,098x = 199,940,722,592 × 199,940,722,592
  4. Step 4: Simplify right side
    148,188,236,098x = 39,976,292,550,611,098,927,104
  5. Step 5: Solve for x
    x = 39,976,292,550,611,098,927,104/148,188,236,098
  6. Step 6: Final answer
    x = 269,766,977,482.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.